Practice Questions
Concept Explanation
A standard deck has 52 cards: 4 suits (hearts, diamonds, clubs, spades) with 13 ranks each (Ace through King).
Key Counts
- Red cards = 26; Black cards = 26
- Face cards (J, Q, K) = 12; Aces = 4
- P(one card drawn) = favourable / 52
Example
P(king) = 4/52 = 1/13; P(heart) = 13/52 = 1/4.
Common Trap
Confirm whether the deck is standard 52 cards with no jokers unless stated.
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Q1 Easy
One card drawn from a standard deck. What is P(ace)?
Explanation4 aces: P = 4/52 = 1/13. -
Q2 Easy
One card drawn. What is P(heart)?
Explanation13 hearts: P = 13/52 = 1/4. -
Q3 Easy
One card drawn. What is P(face card)?
Explanation12 face cards: P = 12/52 = 3/13. -
Q4 Easy
One card drawn. What is P(black card)?
Explanation26 black cards: P = 26/52 = 1/2. -
Q5 Easy
One card drawn. What is P(king of hearts)?
ExplanationOne specific card: P = 1/52. -
Q6 Medium
One card drawn. What is P(not a spade)?
Explanation39 non-spades: P = 39/52 = 3/4. -
Q7 Medium
One card drawn. What is P(red king)?
Explanation2 red kings: P = 2/52 = 1/26.
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Q8 Medium
One card drawn. What is P(number card 2 through 10)?
Explanation9 ranks × 4 suits = 36 cards. P = 36/52 = 9/13. -
Q9 Medium
One card drawn. What is P(club or diamond)?
Explanation13 + 13 = 26 cards: P = 26/52 = 1/2. -
Q10 Easy
One card drawn. What is P(queen)?
Explanation4 queens: P = 4/52 = 1/13. -
Q11 Hard
One card drawn. What is P(even-numbered card: 2,4,6,8,10)?
Explanation5 ranks × 4 suits = 20 cards. P = 20/52 = 5/13. -
Q12 Medium
One card drawn. What is P(king or ace)?
Explanation4 kings + 4 aces = 8 cards. P = 8/52 = 2/13. -
Q13 Hard
One card drawn. What is P(spade face card)?
ExplanationJ, Q, K of spades: P = 3/52. -
Q14 Hard
One card drawn. What is P(red card that is not a face card)?
Explanation26 red − 6 red face cards = 14. P = 14/52.
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DS1 Easy
What is P(drawing a king)?
Statement IA standard 52-card deck is used.
Statement IIThere are 4 kings in the deck.
ExplanationEach alone gives P = 4/52 = 1/13. -
DS2 Easy
What is P(drawing a red card)?
Statement IHalf the cards are red.
Statement IIThere are 26 red cards.
ExplanationEach alone gives P = 26/52 = 1/2.
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DS3 Medium
What is P(drawing a face card)?
Statement IFace cards are Jack, Queen, and King.
Statement IIThere are 12 face cards in the deck.
ExplanationNeed both: P = 12/52 = 3/13. -
DS4 Easy
What is P(drawing the ace of spades)?
Statement IOne card is drawn from a standard deck.
Statement IIThere is exactly one ace of spades.
ExplanationNeed both: P = 1/52.